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Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 3*(1+1%)^11+3*(1+1%)^12+3*(1+1%)^13+3*(1+1%)^14+3*(1+1%)^15+3*(1+1%)^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19 .
Question type: Mathematical calculation
Solution:
3*(1+1%)^11+3*(1+1%)^12+3*(1+1%)^13+3*(1+1%)^14+3*(1+1%)^15+3*(1+1%)^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19
=3*1.01^11+3*(1+1%)^12+3*(1+1%)^13+3*(1+1%)^14+3*(1+1%)^15+3*(1+1%)^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19
=3*1.01^11+3*1.01^12+3*(1+1%)^13+3*(1+1%)^14+3*(1+1%)^15+3*(1+1%)^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19
=3*1.01^11+3*1.01^12+3*1.01^13+3*(1+1%)^14+3*(1+1%)^15+3*(1+1%)^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19
=3*1.01^11+3*1.01^12+3*1.01^13+3*1.01^14+3*(1+1%)^15+3*(1+1%)^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19
=3*1.01^11+3*1.01^12+3*1.01^13+3*1.01^14+3*1.01^15+3*(1+1%)^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19
=3*1.01^11+3*1.01^12+3*1.01^13+3*1.01^14+3*1.01^15+3*1.01^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19
=3*1.01^11+3*1.01^12+3*1.01^13+3*1.01^14+3*1.01^15+3*1.01^16+3*1.01^17+3*(1+1%)^18+3*(1+1%)^19
=3*1.01^11+3*1.01^12+3*1.01^13+3*1.01^14+3*1.01^15+3*1.01^16+3*1.01^17+3*1.01^18+3*(1+1%)^19
=3*1.01^11+3*1.01^12+3*1.01^13+3*1.01^14+3*1.01^15+3*1.01^16+3*1.01^17+3*1.01^18+3*1.01^19
=3*1.115668346665317+3*1.01^12+3*1.01^13+3*1.01^14+3*1.01^15+3*1.01^16+3*1.01^17+3*1.01^18+3*1.01^19
=3*1.115668346665317+3*1.12682503013197+3*1.01^13+3*1.01^14+3*1.01^15+3*1.01^16+3*1.01^17+3*1.01^18+3*1.01^19
=3*1.115668346665317+3*1.12682503013197+3*1.13809328043329+3*1.01^14+3*1.01^15+3*1.01^16+3*1.01^17+3*1.01^18+3*1.01^19
=3*1.115668346665317+3*1.12682503013197+3*1.13809328043329+3*1.149474213237623+3*1.01^15+3*1.01^16+3*1.01^17+3*1.01^18+3*1.01^19
=3*1.115668346665317+3*1.12682503013197+3*1.13809328043329+3*1.149474213237623+3*1.160968955369999+3*1.01^16+3*1.01^17+3*1.01^18+3*1.01^19
=3*1.115668346665317+3*1.12682503013197+3*1.13809328043329+3*1.149474213237623+3*1.160968955369999+3*1.172578644923699+3*1.01^17+3*1.01^18+3*1.01^19
=3*1.115668346665317+3*1.12682503013197+3*1.13809328043329+3*1.149474213237623+3*1.160968955369999+3*1.172578644923699+3*1.184304431372936+3*1.01^18+3*1.01^19
=3*1.115668346665317+3*1.12682503013197+3*1.13809328043329+3*1.149474213237623+3*1.160968955369999+3*1.172578644923699+3*1.184304431372936+3*1.196147475686665+3*1.01^19
=3*1.115668346665317+3*1.12682503013197+3*1.13809328043329+3*1.149474213237623+3*1.160968955369999+3*1.172578644923699+3*1.184304431372936+3*1.196147475686665+3*1.208108950443532
=3.347005+3*1.12682503013197+3*1.13809328043329+3*1.149474213237623+3*1.160968955369999+3*1.172578644923699+3*1.184304431372936+3*1.196147475686665+3*1.208108950443532
=3.347005+3.380475+3*1.13809328043329+3*1.149474213237623+3*1.160968955369999+3*1.172578644923699+3*1.184304431372936+3*1.196147475686665+3*1.208108950443532
=3.347005+3.380475+3.41428+3*1.149474213237623+3*1.160968955369999+3*1.172578644923699+3*1.184304431372936+3*1.196147475686665+3*1.208108950443532
=3.347005+3.380475+3.41428+3.448423+3*1.160968955369999+3*1.172578644923699+3*1.184304431372936+3*1.196147475686665+3*1.208108950443532
=3.347005+3.380475+3.41428+3.448423+3.482907+3*1.172578644923699+3*1.184304431372936+3*1.196147475686665+3*1.208108950443532
=3.347005+3.380475+3.41428+3.448423+3.482907+3.517736+3*1.184304431372936+3*1.196147475686665+3*1.208108950443532
=3.347005+3.380475+3.41428+3.448423+3.482907+3.517736+3.552913+3*1.196147475686665+3*1.208108950443532
=3.347005+3.380475+3.41428+3.448423+3.482907+3.517736+3.552913+3.588442+3*1.208108950443532
=3.347005+3.380475+3.41428+3.448423+3.482907+3.517736+3.552913+3.588442+3.624327
=6.72748+3.41428+3.448423+3.482907+3.517736+3.552913+3.588442+3.624327
=10.14176+3.448423+3.482907+3.517736+3.552913+3.588442+3.624327
=13.590183+3.482907+3.517736+3.552913+3.588442+3.624327
=17.07309+3.517736+3.552913+3.588442+3.624327
=20.590826+3.552913+3.588442+3.624327
=24.143739+3.588442+3.624327
=27.732181+3.624327
=31.356508
Answer:3*(1+1%)^11+3*(1+1%)^12+3*(1+1%)^13+3*(1+1%)^14+3*(1+1%)^15+3*(1+1%)^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19=31.356508
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 3*(1+1%)^11+3*(1+1%)^12+3*(1+1%)^13+3*(1+1%)^14+3*(1+1%)^15+3*(1+1%)^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19 .
Question type: Mathematical calculation
Solution:
3*(1+1%)^11+3*(1+1%)^12+3*(1+1%)^13+3*(1+1%)^14+3*(1+1%)^15+3*(1+1%)^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19
=3*1.01^11+3*(1+1%)^12+3*(1+1%)^13+3*(1+1%)^14+3*(1+1%)^15+3*(1+1%)^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19
=3*1.01^11+3*1.01^12+3*(1+1%)^13+3*(1+1%)^14+3*(1+1%)^15+3*(1+1%)^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19
=3*1.01^11+3*1.01^12+3*1.01^13+3*(1+1%)^14+3*(1+1%)^15+3*(1+1%)^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19
=3*1.01^11+3*1.01^12+3*1.01^13+3*1.01^14+3*(1+1%)^15+3*(1+1%)^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19
=3*1.01^11+3*1.01^12+3*1.01^13+3*1.01^14+3*1.01^15+3*(1+1%)^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19
=3*1.01^11+3*1.01^12+3*1.01^13+3*1.01^14+3*1.01^15+3*1.01^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19
=3*1.01^11+3*1.01^12+3*1.01^13+3*1.01^14+3*1.01^15+3*1.01^16+3*1.01^17+3*(1+1%)^18+3*(1+1%)^19
=3*1.01^11+3*1.01^12+3*1.01^13+3*1.01^14+3*1.01^15+3*1.01^16+3*1.01^17+3*1.01^18+3*(1+1%)^19
=3*1.01^11+3*1.01^12+3*1.01^13+3*1.01^14+3*1.01^15+3*1.01^16+3*1.01^17+3*1.01^18+3*1.01^19
=3*1.115668346665317+3*1.01^12+3*1.01^13+3*1.01^14+3*1.01^15+3*1.01^16+3*1.01^17+3*1.01^18+3*1.01^19
=3*1.115668346665317+3*1.12682503013197+3*1.01^13+3*1.01^14+3*1.01^15+3*1.01^16+3*1.01^17+3*1.01^18+3*1.01^19
=3*1.115668346665317+3*1.12682503013197+3*1.13809328043329+3*1.01^14+3*1.01^15+3*1.01^16+3*1.01^17+3*1.01^18+3*1.01^19
=3*1.115668346665317+3*1.12682503013197+3*1.13809328043329+3*1.149474213237623+3*1.01^15+3*1.01^16+3*1.01^17+3*1.01^18+3*1.01^19
=3*1.115668346665317+3*1.12682503013197+3*1.13809328043329+3*1.149474213237623+3*1.160968955369999+3*1.01^16+3*1.01^17+3*1.01^18+3*1.01^19
=3*1.115668346665317+3*1.12682503013197+3*1.13809328043329+3*1.149474213237623+3*1.160968955369999+3*1.172578644923699+3*1.01^17+3*1.01^18+3*1.01^19
=3*1.115668346665317+3*1.12682503013197+3*1.13809328043329+3*1.149474213237623+3*1.160968955369999+3*1.172578644923699+3*1.184304431372936+3*1.01^18+3*1.01^19
=3*1.115668346665317+3*1.12682503013197+3*1.13809328043329+3*1.149474213237623+3*1.160968955369999+3*1.172578644923699+3*1.184304431372936+3*1.196147475686665+3*1.01^19
=3*1.115668346665317+3*1.12682503013197+3*1.13809328043329+3*1.149474213237623+3*1.160968955369999+3*1.172578644923699+3*1.184304431372936+3*1.196147475686665+3*1.208108950443532
=3.347005+3*1.12682503013197+3*1.13809328043329+3*1.149474213237623+3*1.160968955369999+3*1.172578644923699+3*1.184304431372936+3*1.196147475686665+3*1.208108950443532
=3.347005+3.380475+3*1.13809328043329+3*1.149474213237623+3*1.160968955369999+3*1.172578644923699+3*1.184304431372936+3*1.196147475686665+3*1.208108950443532
=3.347005+3.380475+3.41428+3*1.149474213237623+3*1.160968955369999+3*1.172578644923699+3*1.184304431372936+3*1.196147475686665+3*1.208108950443532
=3.347005+3.380475+3.41428+3.448423+3*1.160968955369999+3*1.172578644923699+3*1.184304431372936+3*1.196147475686665+3*1.208108950443532
=3.347005+3.380475+3.41428+3.448423+3.482907+3*1.172578644923699+3*1.184304431372936+3*1.196147475686665+3*1.208108950443532
=3.347005+3.380475+3.41428+3.448423+3.482907+3.517736+3*1.184304431372936+3*1.196147475686665+3*1.208108950443532
=3.347005+3.380475+3.41428+3.448423+3.482907+3.517736+3.552913+3*1.196147475686665+3*1.208108950443532
=3.347005+3.380475+3.41428+3.448423+3.482907+3.517736+3.552913+3.588442+3*1.208108950443532
=3.347005+3.380475+3.41428+3.448423+3.482907+3.517736+3.552913+3.588442+3.624327
=6.72748+3.41428+3.448423+3.482907+3.517736+3.552913+3.588442+3.624327
=10.14176+3.448423+3.482907+3.517736+3.552913+3.588442+3.624327
=13.590183+3.482907+3.517736+3.552913+3.588442+3.624327
=17.07309+3.517736+3.552913+3.588442+3.624327
=20.590826+3.552913+3.588442+3.624327
=24.143739+3.588442+3.624327
=27.732181+3.624327
=31.356508
Answer:3*(1+1%)^11+3*(1+1%)^12+3*(1+1%)^13+3*(1+1%)^14+3*(1+1%)^15+3*(1+1%)^16+3*(1+1%)^17+3*(1+1%)^18+3*(1+1%)^19=31.356508